共50条信息
已知\(a\in R\)，若\(\dfrac{a+2i}{4-i}\)是纯虚数，则在复平面内，复数\(z=ai+{{i}^{2018}}\)所对应的点位于\((\) \()\)
\((1)\dfrac{{2}+{2i}}{{{({1}-{i})}^{{2}}}}+{{\left( \dfrac{\sqrt{{2}}}{{1}+{i}} \right)}^{{2016}}}\)；
\((2)i+i^{2}+…+i^{2017}\)．
\((1)\dfrac{{2}+{2i}}{{{({1}-{i})}^{{2}}}}+{{\left( \dfrac{\sqrt{{2}}}{{1}+{i}} \right)}^{{2010}}}\)；
\((2)(4-i^{5})(6+2i^{7})+(7+i^{11})(4-3i)\)．
复数\({{\left( \dfrac{1-i}{1+i} \right)}^{10}}\)的值是____________．
若\(n\)是大于\(2000\)的奇数，则复数\({{\left( \dfrac{{1}+{i}}{{1}-{i}} \right)}^{2n}}+{{\left( \dfrac{{1}-{i}}{{1}+{i}} \right)}^{2n}}\)的值是 \((\) \()\)
设\(z= \dfrac{1}{2}+ \dfrac{ \sqrt{3}}{2}i(i\)是数单位\()\)，则\(z+2z^{2}+3z^{3}+4z^{4}+5z^{5}+6z^{6}=(\) \()\)
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